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<p>An age-structured fish model with birth and harvesting pulses is established, where birth pulses are responsible for increasing the amount of fish due to the constant multiple placement of juveniles, and harvesting pulses describe the decrease of fish due to fishing activities. The principal eigenvalue as a threshold value depending on the harvesting and birth intensity is firstly investigated by three different ways. The asymptotic behavior of the population is fully investigated and sufficient conditions for the species to be extinct or persist are given. Numerical simulations suggest that interaction between negative harvesting intervention and positive birth perturbation decides extinction and persistence of the species. It is possible to transform between expansion and extinction of species for sustainable development of fishery resources by choosing appropriate pulse intensities and perturbation timing.</p>

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Interaction between harvesting intervention and birth perturbation in an age-structured model

  • 期刊论文

  • 发表日期：

    2025年6月23日

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  • Haiyan Xu,
  • Zhigui Lin,
  • Carlos Alberto Santos

摘要

An age-structured fish model with birth and harvesting pulses is established, where birth pulses are responsible for increasing the amount of fish due to the constant multiple placement of juveniles, and harvesting pulses describe the decrease of fish due to fishing activities. The principal eigenvalue as a threshold value depending on the harvesting and birth intensity is firstly investigated by three different ways. The asymptotic behavior of the population is fully investigated and sufficient conditions for the species to be extinct or persist are given. Numerical simulations suggest that interaction between negative harvesting intervention and positive birth perturbation decides extinction and persistence of the species. It is possible to transform between expansion and extinction of species for sustainable development of fishery resources by choosing appropriate pulse intensities and perturbation timing.